Square Roots & Inverses

What are the transformations of this functions compared to the parent function?

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

What are the transformations of this functions compared to the parent function?

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch, and shifted right 5

• Reflected over the x-axis, vertical stretch, and shifted left 5

• Shifted right 5, shifted down 2

What are the transformations to the graph compared to the parent function?

• Shifted right 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the x-axis

• Shifted right 2, shifted up 3, and reflected over the x-axis

What is the parent function of square root functions?

• f(x) = x

• f(x) = √x

• f(x) = -√x

• f(x) = x²

What is the DOMAIN of the function in this graph?

• (- $\infty$  , 3]

• [3,  $\infty$  )

• ( $-\infty$  , 0]

• [0,  $\infty$  )

What is the RANGE of the function in this graph?

• ( $-\infty$ , 3]

• [3, $\infty$ )

• ( $-\infty$ , 0]

• [0 , $\infty$ )

What does it mean to find the inverse of a function?

• the x's and y's are switched

• the x's and y's are divided by 2

• the x's and y's are made negative

• the x's and y's are the same

What is the equation of the graph?

• $y=\sqrt{\left(x-3\right)}$

  
  

• $y\ =\ \sqrt{x}+3$

• $y\ =\ \sqrt{x-5}+4$

• $y\ =\ \sqrt{x+5}+4$

Find the inverse of f(x) = x² - 5

• f-1(x) = $\sqrt{x}+5$

• f^-1(x) = ∛(x-5)

• f-1(x) = $\sqrt{x+5}$

• f-1(x) = $x^2\ -5$

What is the equation of the function that is graphed?

• f(x)= - √x
• f(x) = √-x
• f(x) = - √-x